Identical Twins

Some logic puzzles inspired by those found in Raymond Smullyan's Alice in Puzzle-Land.

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Alice stumbled on Tweedledum and Tweedledee who were grinning under a tree right by their house. Tweedledee and Tweedledum appear identical, and Alice could not tell them apart. "Let's play a logic game," said the first brother. Holding up a Jack of Diamonds, the first brother continued: "We will go back inside and each pick up a playing card like this and keep it hidden from you. When we hold a red card, we will tell the truth, when we hold a black card we will lie." He added, "Remember, when we say 'Either A or B,' we are using 'or' inclusively, which means either A or B or both!" With that, the two brothers entered their home.